EEL 5934 Homework Assignment 2 Fall 2014 1. A plane wave propagates in seawater with electrical properties = 4 S m , r = 80 , r = 1, and f = 100 kHz . Find: a) The phase velocity; b) The wavelength; c) The skin depth; d) The intrinsic impedance. 2. The time-varying magnetic intensity in free space is given by

H = y! 25cos 40,000t + z( ) A m

Find: a) The phase constant; b) The wavelength; c) The velocity of propagation; d) The corresponding time-varying electric intensity. 3. Which of the following media may be treated as conducting at f = 8 MHz ? a) Wet soil ( r = 15 , r = 1, = 102 S m ); b) Intrinsic germanium ( r = 16 , r = 1, = 0.025 S m ); c) Seawater ( r = 81 , r = 1, = 25 S m ). 4. In a dielectric medium with r = 9 and r = 1, a plane wave with

H = y! 0.2cos 109 t kx k 8z( ) A m

is incident on a boundary with air at z = 0 . Find: a) r and t ; b) k ; c) The wavelength in the dielectric and in air; d) The incident electric intensity; e) The reflected and transmitted electric intensity; f) The Brewster angle. Due date: Tuesday, September 16.